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Figure 7 | EPJ Quantum Technology

Figure 7

From: Methodology for bus layout for topological quantum error correcting codes

Figure 7

Trivalent lattice on which the Levin-Wen model is defined. The lattice is obtained by translating the unit cell 0 by the unit vectors \(\mathbf{v}_{1}\) and \(\mathbf{v}_{2}\). For example, the unit cell 1 is obtained by translating unit cell 0 by \(-\mathbf{v}_{2}\). For the sake of clarity, we do not represent all the qubits of the lattice. Instead, we draw and label the data (black dots) and ancillary (green squares) qubits of a given unit cell k. This qubit layout is appropriate for the plaquette swapping method [28].

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